Two pipes can fill a tank in 10 hours and 16 hours respectively. A third pipe can empty the tank in 32 hours. If all the three pipes are opened simultaneously then in how much time the tank will be full ? (in hours)

A

$$7\frac{11}{21}$$

B

$$7\frac{13}{21}$$

C

$$8\frac{4}{21}$$

D

$$6\frac{5}{14}$$

E

$$8\frac{9}{14}$$